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Finding the Fourth Proportional to 140,574.72, 210,342.72 and 84,448.80

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Solution

The fourth proportional to 140,574.72, 210,342.72 and 84,448.80 is: 126,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,574.72 : 210,342.72 = 84,448.80 : x
  2. Step 2: Convert to fraction form
    140,574.72/210,342.72 = 84,448.80/x
  3. Step 3: Cross multiply
    140,574.72x = 210,342.72 × 84,448.80
  4. Step 4: Simplify right side
    140,574.72x = 17,763,190,292.74
  5. Step 5: Solve for x
    x = 17,763,190,292.74/140,574.72
  6. Step 6: Final answer
    x = 126,361.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.